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Finding the Fourth Proportional to 5,492.51, 8,239.15 and 2,205.60

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Solution

The fourth proportional to 5,492.51, 8,239.15 and 2,205.60 is: 3,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.51 : 8,239.15 = 2,205.60 : x
  2. Step 2: Convert to fraction form
    5,492.51/8,239.15 = 2,205.60/x
  3. Step 3: Cross multiply
    5,492.51x = 8,239.15 × 2,205.60
  4. Step 4: Simplify right side
    5,492.51x = 18,172,294.62
  5. Step 5: Solve for x
    x = 18,172,294.62/5,492.51
  6. Step 6: Final answer
    x = 3,308.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.